3 citations · 8 across the 4 of their papers we have counts for
5 papers
Coincidence theorems for finite topological spaces
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
We adapt the definition of the Vietoris map to the framework of finite topological spaces and we prove some coincidence theorems. From them, we deduce a Lefschetz fixed point theor…
Topological realizations of groups in Alexandroff spaces
P. J. Chocano, M. A. Morón, F. R. Ruiz del Portal
We prove that every group can be realized as the homeomorphism group and as the group of (pointed) homotopy classes of (pointed) self-homotopy equivalences of infinitely many non-h…
Dynamics and eigenvalues in dimension zero
Luis Hernández-Corbato, David Jesús Nieves-Rivera, Francisco R. Ruiz Del Portal +1
Let be a compact, metric and totally disconnected space and let be a continuos map. We relate the eigenvalues of $f_{*}:\check{H}_{0}(X;\mathbb{C})\to\check{H}_{0}(X…
Infinite series in cohomology: attractors and Conley index
Luis Hernández-Corbato, Francisco R. Ruiz del Portal, Jaime J. Sánchez-Gabites
In this paper we study the cohomological Conley index of arbitrary isolated invariant continua for continuous maps by analyzing…
Uniqueness of dynamical zeta functions and symmetric products
Eduardo Blanco Gomez, Luis Hernandez-Corbato, Francisco R. Ruiz del Portal
A characterization of dynamically defined zeta functions is presented. It comprises a list of axioms, natural extension of the one which characterizes topological degree, and a uni…